Dear Aurelian,
Thank You for the Comment. But why you say that Bob cannot superpose the message in a coherent way? He should put in the location 1 of the mirror, a 50:50 beam splitter instead, and a permanent mirror at location 2. This provides a coherent superposition of messages 1 and 2. Alice can arrange interference between them and measure the phase which Bob fixes. This modification is “Bohmian counterfactual” as well.
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